Search a number
-
+
114035762201 is a prime number
BaseRepresentation
bin110101000110100001…
…1111010010000011001
3101220100100101221100012
41222031003322100121
53332021123342301
6124215354051305
711144624662004
oct1521503722031
9356310357305
10114035762201
11443a923aa79
121a126419b35
13a9a466028a
14573b1a653b
152e76583ebb
hex1a8d0fa419

114035762201 has 2 divisors, whose sum is σ = 114035762202. Its totient is φ = 114035762200.

The previous prime is 114035762069. The next prime is 114035762207. The reversal of 114035762201 is 102267530411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64375868176 + 49659894025 = 253724^2 + 222845^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114035762201 is a prime.

It is not a weakly prime, because it can be changed into another prime (114035762207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57017881100 + 57017881101.

It is an arithmetic number, because the mean of its divisors is an integer number (57017881101).

Almost surely, 2114035762201 is an apocalyptic number.

It is an amenable number.

114035762201 is a deficient number, since it is larger than the sum of its proper divisors (1).

114035762201 is an equidigital number, since it uses as much as digits as its factorization.

114035762201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 114035762201 in words is "one hundred fourteen billion, thirty-five million, seven hundred sixty-two thousand, two hundred one".